東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

An invitation to web geometry

Pereira, Jorge Vitorio.

Linked to FindBook

Google Book

Amazon

博客來

An invitation to web geometry

Record Type:	Electronic resources : Monograph/item
Title/Author:	An invitation to web geometry/ by Jorge Vitorio Pereira, Luc Pirio.
Author:	Pereira, Jorge Vitorio.
other author:	Pirio, Luc.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xvii, 213 p. :ill., digital ;24 cm.
[NT 15003449]:	Local and Global Webs -- Abelian Relations -- Abel's Addition Theorem -- The Converse to Abel's Theorem -- Algebraization -- Exceptional Webs.
Contained By:	Springer eBooks
Subject:	Webs (Differential geometry) -
Online resource:	http://dx.doi.org/10.1007/978-3-319-14562-4
ISBN:	9783319145624 (electronic bk.)

An invitation to web geometry
Pereira, Jorge Vitorio.

An invitation to web geometry[electronic resource] /by Jorge Vitorio Pereira, Luc Pirio. - Cham :Springer International Publishing :2015. - xvii, 213 p. :ill., digital ;24 cm. - IMPA monographs ;v.2. - IMPA monographs ;v.2..

Local and Global Webs -- Abelian Relations -- Abel's Addition Theorem -- The Converse to Abel's Theorem -- Algebraization -- Exceptional Webs.

This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses of the book include how many abelian relations can a web carry and which webs are carrying the maximal possible number of abelian relations. The book offers complete proofs of both Chern's bound and Trepreau's algebraization theorem, including all the necessary prerequisites that go beyond elementary complex analysis or basic algebraic geometry. Most of the examples known up to date of non-algebraizable planar webs of maximal rank are discussed in detail. A historical account of the algebraization problem for maximal rank webs of codimension one is also presented.

ISBN: 9783319145624 (electronic bk.)

Standard No.: 10.1007/978-3-319-14562-4doiSubjects--Topical Terms:

2134867
Webs (Differential geometry)

LC Class. No.: QA648.5

Dewey Class. No.: 516.36

An invitation to web geometry
LDR:02079nmm a2200325 a 4500 001 1995413
003 DE-He213
005 20150922110008.0
006 m d
007 cr nn 008maaau
008 151019s2015 gw s 0 eng d
020 $a 9783319145624 (electronic bk.)
020 $a 9783319145617 (paper)
024 7 $a 10.1007/978-3-319-14562-4 $2 doi
035 $a 978-3-319-14562-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA648.5
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
082 0 4 $a 516.36 $2 23
090 $a QA648.5 $b .P436 2015
100 1 $a Pereira, Jorge Vitorio. $3 2134864
245 1 3 $a An invitation to web geometry $h [electronic resource] / $c by Jorge Vitorio Pereira, Luc Pirio.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xvii, 213 p. : $b ill., digital ; $c 24 cm.
490 1 $a IMPA monographs ; $v v.2
505 0 $a Local and Global Webs -- Abelian Relations -- Abel's Addition Theorem -- The Converse to Abel's Theorem -- Algebraization -- Exceptional Webs.
520 $a This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses of the book include how many abelian relations can a web carry and which webs are carrying the maximal possible number of abelian relations. The book offers complete proofs of both Chern's bound and Trepreau's algebraization theorem, including all the necessary prerequisites that go beyond elementary complex analysis or basic algebraic geometry. Most of the examples known up to date of non-algebraizable planar webs of maximal rank are discussed in detail. A historical account of the algebraization problem for maximal rank webs of codimension one is also presented.
650 0 $a Webs (Differential geometry) $3 2134867
650 0 $a Geometry, Differential. $3 523835
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Algebraic Geometry. $3 893861
650 2 4 $a Differential Geometry. $3 891003
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
700 1 $a Pirio, Luc. $3 2134865
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a IMPA monographs ; $v v.2. $3 2134866
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-14562-4
950 $a Mathematics and Statistics (Springer-11649)